Maximum - math problems

Number of problems found: 80

  • A missile
    ballistic_curve A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises? Fps foot per second.
  • A cheetah
    cheetah A cheetah was separated from his brothers on a hunting mission.  The brothers were at the watering hole 120 km away.  The lost cheetah knew that he had to make it back before sundown which was 1.5 hours away.  His brothers had planned to leave the waterin
  • The volleyball ball
    volejball The volleyball ball can have a circumference after inflation of at least 650 max 750 mm. What volume of air can this ball hold, if its circumference is the average of the minimum and maximum inflation of the ball.
  • Jewelry factory
    diamonds In a jewelry factory, three assemblers make beaded necklaces.  Marcus can make 22 necklaces per hour all day long. Anita can make 25 necklaces for her first three hour of the days and then slow down to 16 necklaces for the rest of the day. Yara can make 2
  • Martians
    sphere_in_cone.png A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. In order not to attract attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal?
  • 5-number summary
    statistics Given the following 5-number summary: 11, 19, 24, 30, 48 which of the statistics cannot be determined?
  • Megapizza
    pizza Megapizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion?
  • Largest possible cone
    cone-upside It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, 7.2 cm. a) Calculate its volume. b) Calculate the waste.
  • Duo mix
    chicken In one kilogram of meat of two colors is 650 g of pork, the rest is chicken. One kilogram of pork is 40 CZK more expensive than a kilogram of chicken. How many CZK cost one kilogram of chicken meat so that the price of one kilogram of meat of two colors i
  • Chairs
    stol In the two dining rooms in the recreational building, there are equally arranged chairs around the tables. A maximum of 78 people can dine in the first dining room and 54 people in the second. How many chairs can be around one table?
  • Summer camp
    tablo Some boys or girls signed up for the summer camp, which has a maximum capacity of 200 children. The main leader noticed that during the evening start, he could arrange the participants exactly in the twelve-step, sixteen-step, or eighteen-step, and no one
  • Maximum of volume
    kuzel2 The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
  • The shooter
    terc The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting each of them is 0.2. The shooter fires until he hits the target for the first time, then stop firing. (a) What is the most li
  • Deficiencies
    normal_d During the hygienic inspection in 2000 mass caterers, deficiencies were found in 300 establishments. What is the probability that deficiencies in a maximum of 3 devices will be found during the inspection of 10 devices?
  • Derivative problem
    derive The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive and the product of one with the other power of the other is maximal.
  • Largest wall
    cuboid Find the content of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm.
  • Shopping malls
    tv The chain of department stores plans to invest up to 24,000 euros in television advertising. Ads will place all commercials on a television station where the broadcast of a 30-second spot costs EUR 1,000 and is watched by 14,000 potential customers. Durin
  • Largest squares
    metals How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm?
  • Butterflies and bees
    bee There were 35 flowers in the garden. The butterflies were on 17 flowers. There were butterflies and bees on 8 flowers. Can you find out on how many flowers were only bees? Note. there was a maximum of one butterfly and a maximum of one bee on each flower.
  • The bridge
    bridge2 A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force is pushing the car onto the bridge as it passes through the center? What is the maximum speed it can cross over the center of the bridge so that

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